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On an optimal quadrature formula in Sobolev space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si27.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>

Kh. M. ShadimetovInstitute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29, Do‘rmon yo‘li str., 100125, Tashkent, UzbekistanA.R. HayotovInstitute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29, Do‘rmon yo‘li str., 100125, Tashkent, UzbekistanF.A. NuralievInstitute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29, Do‘rmon yo‘li str., 100125, Tashkent, Uzbekistan
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